4960368 has 180 divisors, whose sum is σ = 17457960. Its totient is φ = 1306368.

The previous prime is 4960367. The next prime is 4960391. The reversal of 4960368 is 8630694.

4960368 is a `hidden beast` number, since 49 + 603 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134046 + ... + 134082.

Almost surely, 2^4960368 is an apocalyptic number.

4960368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728980).

4960368 is an abundant number, since it is smaller than the sum of its proper divisors (12497592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4960368 is a wasteful number, since it uses less digits than its factorization.

4960368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4960368 is about 2227.1883620386. The cubic root of 4960368 is about 170.5445972266.

The spelling of 4960368 in words is "four million, nine hundred sixty thousand, three hundred sixty-eight".